As it follows from the theory of orthogonal polynomials [1]}, a sequence \(\lbrace p_n\rbrace _{n\ge 0}\)  satisfies the three term recurrence relation
\(x p_n(x) = A_{n+1} p_{n+1}(x) +B_n p_n(x) + A_{n} p_{n-1}(x),\qquad \mathrm {(1.16)}\) 
